Optimist::TestSet::EllipticParaboloid< Vector > Class Template Reference

Class container for the paraboloid function. More...

#include <EllipticParaboloid.hh>

Inherits Optimist::Function< Vector, Vector::Scalar, EllipticParaboloid< Vector > >.

Public Types
using	VectorTrait = TypeTrait<Vector>
using	Scalar = typename Vector::Scalar
Public Types inherited from Optimist::FunctionBase< Vector, Vector::Scalar, EllipticParaboloid< Vector > >
using	InputTrait
using	OutputTrait
using	Scalar
using	FirstDerivative
using	SecondDerivative

Public Member Functions
	EllipticParaboloid ()
constexpr std::string	name_impl () const
bool	evaluate_impl (const Vector &x, Scalar &out) const
bool	first_derivative_impl (const Vector &x, FirstDerivative &out) const
bool	second_derivative_impl (const Vector &, SecondDerivative &out) const
Public Member Functions inherited from Optimist::Function< Vector, Vector::Scalar, EllipticParaboloid< Vector > >
	Function ()
constexpr std::string	name () const
bool	evaluate (const Vector &x, Vector::Scalar &out) const
bool	jacobian (const Vector &x, FirstDerivative &out) const
bool	hessian (const Vector &x, SecondDerivative &out) const
Public Member Functions inherited from Optimist::FunctionBase< Vector, Vector::Scalar, EllipticParaboloid< Vector > >
	FunctionBase ()
constexpr std::string	name () const
bool	evaluate (const Vector &x, Vector::Scalar &out) const
bool	first_derivative (const Vector &x, FirstDerivative &out) const
bool	second_derivative (const Vector &x, SecondDerivative &out) const
constexpr Integer	input_dimension () const
constexpr Integer	output_dimension () const
const std::vector< Vector > &	solutions () const
const std::vector< Vector > &	guesses () const
const Vector &	solution (const Integer i) const
const Vector &	guess (const Integer i) const
bool	is_solution (const Vector &x, const Scalar tol=FunctionBase::SQRT_EPSILON) const

Private Attributes
Scalar	m_a {1.0}
Scalar	m_b {1.0}

Additional Inherited Members
Protected Attributes inherited from Optimist::FunctionBase< Vector, Vector::Scalar, EllipticParaboloid< Vector > >
std::vector< Vector >	m_solutions
std::vector< Vector >	m_guesses

Detailed Description

template<typename Vector>
requires TypeTrait<Vector>::IsEigen && (!TypeTrait<Vector>::IsFixed || TypeTrait<Vector>::Dimension == 2)
class Optimist::TestSet::EllipticParaboloid< Vector >

Class container for the paraboloid function, which is defined as:

\[f(\mathbf{x}) = ax^2 + by^2 \text{.} \]

The function has global minima at \(\mathbf{x} = (0, 0)\), with \(f(\mathbf{x}) = 0\). The initial guesses are generated on the square \(x_i \in \left[-100, 100\right]\).

Template Parameters

Scalar

Floating-point number type.

Member Typedef Documentation

Scalar

template<typename Vector>

using Optimist::TestSet::EllipticParaboloid< Vector >::Scalar = typename Vector::Scalar

VectorTrait

template<typename Vector>

using Optimist::TestSet::EllipticParaboloid< Vector >::VectorTrait = TypeTrait<Vector>

Constructor & Destructor Documentation

EllipticParaboloid()

template<typename Vector>

Optimist::TestSet::EllipticParaboloid< Vector >::EllipticParaboloid ( )

inline

Class constructor for the paraboloid function.

Member Function Documentation

evaluate_impl()

template<typename Vector>

bool Optimist::TestSet::EllipticParaboloid< Vector >::evaluate_impl ( const Vector & x, Scalar & out ) const

inline

Compute the function value at the input point.

Parameters

[in]	x	Input point.
[out]	out	The function value.

first_derivative_impl()

template<typename Vector>

bool Optimist::TestSet::EllipticParaboloid< Vector >::first_derivative_impl ( const Vector & x, FirstDerivative & out ) const

inline

Compute the first derivative value at the input point.

Parameters

[in]	x	Input point.
[out]	out	The first derivative value.

name_impl()

template<typename Vector>

std::string Optimist::TestSet::EllipticParaboloid< Vector >::name_impl ( ) const

inlineconstexpr

Get the function name.

Returns

The function name.

second_derivative_impl()

template<typename Vector>

bool Optimist::TestSet::EllipticParaboloid< Vector >::second_derivative_impl ( const Vector & , SecondDerivative & out ) const

inline

Compute the second derivative value at the input point.

Parameters

[in]	x	Input point.
[out]	out	The second derivative value.

Member Data Documentation

m_a

template<typename Vector>

Scalar Optimist::TestSet::EllipticParaboloid< Vector >::m_a {1.0}

private

Coefficient \( a \).

m_b

template<typename Vector>

Scalar Optimist::TestSet::EllipticParaboloid< Vector >::m_b {1.0}

private

Coefficient \( b \).

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The documentation for this class was generated from the following file:

• core/include/Optimist/TestSet/EllipticParaboloid.hh